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FMO 2026 - Grade 7 - National - Paper 03

Question 1

According to the pattern, which picture replaces the question mark?

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  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration

Question 2

Kellie writes two-digit prime numbers whose digits, when reversed, give a number divisible by 5. How many different such primes can she write?
  1. 2
  2. 3
  3. 4
  4. 5
  5. 6

Question 3

In a promotion for the film Elemental, the character dolls have the prices and discounts shown. Sofia wants the cheapest doll after discount. How much must she pay?

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Sale/off = Giảm giá.
  1. 32 dollars
  2. 36 dollars
  3. 34 dollars
  4. 40 dollars
  5. 45 dollars

Question 4

Fermat club has five groups with an average of 300 people per group. The graph shows their sizes, but the numerical scale has been erased. How many people are in the largest group?

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Group = Nhóm.
  1. 420
  2. 490
  3. 280
  4. 300
  5. 350

Question 5

Troy stacks cubes of side length 2 cm into towers following the pattern. Find the volume of the four-layer tower.

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  1. 360 cm³
  2. 120 cm³
  3. 720 cm³
  4. 180 cm³
  5. 240 cm³

Question 6

Printer A is serviced every 18 days and printer B every 15 days. Both were serviced on Monday. On which day of the week will they next be serviced together?
  1. Wednesday
  2. Sunday
  3. Friday
  4. Thursday
  5. Saturday

Question 7

Isabelle photographs the same pool float, coloured red, green, blue and yellow, from four different positions. Which option cannot belong to those four views?
  1. Question illustration
  2. Question illustration
  3. Question illustration
  4. Question illustration
  5. Question illustration

Question 8

Find x in the figure. All marked angles are in degrees.

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  1. 33
  2. 30
  3. 25
  4. 24
  5. 27

Question 9

Some digits are missing from the multiplication. Find the product.

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  1. 47500
  2. 47550
  3. 44380
  4. 41210
  5. 53890

Question 10

Follow the decision diagram to find the final result.

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  1. 15
  2. −2
  3. 10
  4. −1
  5. 26

Question 11

When Andy is one third of his father’s age, their ages sum to 60. How old is the father when Andy is one fourth of his age?
  1. 36
  2. 32
  3. 44
  4. 40
  5. 48

Question 12

How many separate pieces result when the square sheet is folded and cut through all layers as instructed?

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  1. 13
  2. 16
  3. 10
  4. 11
  5. 12

Question 13

Andrew places three rectangular pieces from shortest to tallest, each 16 cm taller than the preceding one, as Figure 1. He rearranges them as Figure 2, keeping their bottoms aligned. What is perimeter(Figure 2) minus perimeter(Figure 1)?

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Figure = Hình.
  1. 16 cm
  2. 32 cm
  3. 48 cm
  4. 64 cm
  5. 80 cm

Question 14

Each ball represents the number of students in its club: football, basketball or volleyball. Find the size of the smallest club.

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  1. 16
  2. 12
  3. 10
  4. 15
  5. 14

Question 15

Soldiers are labelled 1 to 120. Those with labels divisible by 2 leave, then those with labels divisible by 5 leave. Keeping the original labels, how many soldiers remain?
  1. 54
  2. 36
  3. 48
  4. 60
  5. 24

Question 16

Mr Bean puts one card for each integer from 20 to 2000 in a box and draws cards at random without replacement. What is the least number of draws that guarantees two drawn numbers have sum 2023?

Intended guarantee reading: the number must work for every possible draw, rather than only for a lucky pair.
  1. 990
  2. 989
  3. 993
  4. 991
  5. 992

Question 17

Selena joins all four identical, uncut cubes face to face to form a cuboid. Its total surface area is S. If the minimum possible S is 288 cm², find the maximum possible S.

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  1. 324 cm²
  2. 384 cm²
  3. 364 cm²
  4. 344 cm²
  5. None of the above

Question 18

Following the shown pattern, how many stars are in the tenth group?

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Group = Nhóm.
  1. 195
  2. 205
  3. 109
  4. 199
  5. None of the above

Question 19

Fill the seven circles with 1 through 7, without repetition, so that each of the five drawn straight lines of three circles has the same sum. Which number must be at the top?

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  1. 1
  2. 3
  3. 5
  4. 7
  5. None of the above

Question 20

How many odd three-digit numbers smaller than 555 can be formed from digits 0–9 without repeating a digit?
  1. 185
  2. 146
  3. 178
  4. 162
  5. None of the above